Evaluate the following expressions. Your answer must be an angle in radians and in the interval \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \). (a) \( \sin ^{-1}(-1)=\square \) (b) \( \sin ^{-1}(1)=\square \) (c) \( \sin ^{-1}\left(-\frac{\sqrt{2}}{2}\right)=\square \)

Which is the correct identity for cos? \( \cos \theta=\frac{h}{a} \) \( \cos =\frac{h}{a} \) \( \cos \theta=\frac{a}{h} \) \( \cos =\frac{a}{h} \)

\( \frac { 4 \sin \frac { \alpha } { 2 } \cos \frac { \alpha } { 2 } } { \tan \frac { \alpha } { 2 } } - 1 \)

Corvert the following angle from degrees to radians. Express your answer in simplest form.

Thid an angle 9 coterminal to \( 1066^{\circ} \), where \( 0^{\circ} \leq 0<360 \)

If \( \cos (\alpha+\beta)=0 \) then \( \sin (\alpha+2 \beta) \)